The force on a sailboat mast can be represented by the following function
,
5
( ) 200
2
H
z
e
z
z
f z
where z the elevation above the deck and H the height of the mast. The total
force F exerted on the mast can be determined by integrating this function over the
height of the mast, ( ) .
0
H
F f z dz The line of action can also be determined by
integration
H
H
f z dz
zf z dz
d
0
0
( )
( )
.
Use Trapezoidal rule to compute F and d for the case where H 30 by taking
number of segments n 6 .
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